The force analogy method (FAM) is considered as one of the most time-saving and cost-efficient methods for analyzing frames. Through a set of assumptions and restoring forces, FAM analyzes nonlinear frames responses through Hooke’s law. This study evaluates the effect of element type on FAM through numerical and experimental tests. The conventional Euler Bernoulli (EB) element is replaced by the Timoshenko (TS) beam-column element and the results are interpreted and compared with experimental findings. Three experimental tests were conducted for benchmarking and comparison purposes via 2D aluminum frames. The results indicated that during the analysis, when the frame response is in the linear region, there is no difference between the element types in the response of the frames. When the frame entered the plastic region, the frames which were analyzed by the TS element revealed closer responses to the experimental outcomes. The gap between the results of the frame which was analyzed by EB and TS enlarged especially when the frame experienced a sharp or huge rotation of more than 0.2 rad. The final recorded deformations based on the TS element revealed an accuracy between 98.05% to 98.65%, while the EB element showed 14.66% to 45.14% for rotations of more than 0.2 rad at plastic hinge locations (PHLs).

中文翻译：

---

按单元类型进行力类比法（FAM）的实验评估

力模拟方法（FAM）被认为是分析框架最省时，最经济的方法之一。通过一系列假设和恢复力，FAM通过胡克定律分析了非线性框架的响应。本研究通过数值和实验测试评估元素类型对FAM的影响。常规的Euler Bernoulli（EB）元件被Timoshenko（TS）束柱元件替代，结果得到解释并与实验结果进行比较。为了进行基准测试和比较，通过2D铝框架进行了三个实验测试。结果表明，在分析过程中，当帧响应处于线性区域时，帧响应中的元素类型之间没有差异。当镜框进入塑料区域时，TS元素分析的框架显示出对实验结果的更接近的响应。通过EB和TS分析的框架结果之间的差距加大了，特别是当框架经历了超过0.2 rad的急剧或巨大旋转时。最终记录的基于TS元素的变形显示了98.05％至98.65％的精度，而EB元素在塑料铰链位置（PHL）旋转超过0.2 rad时显示了14.66％至45.14％的精度。